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Finding the Fourth Proportional to 257.11, 385.74 and 170.61

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Solution

The fourth proportional to 257.11, 385.74 and 170.61 is: 255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.11 : 385.74 = 170.61 : x
  2. Step 2: Convert to fraction form
    257.11/385.74 = 170.61/x
  3. Step 3: Cross multiply
    257.11x = 385.74 × 170.61
  4. Step 4: Simplify right side
    257.11x = 65,811.10
  5. Step 5: Solve for x
    x = 65,811.10/257.11
  6. Step 6: Final answer
    x = 255.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.